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Finding the Fourth Proportional to 5,094.66, 7,642.28 and 1,585.17

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Solution

The fourth proportional to 5,094.66, 7,642.28 and 1,585.17 is: 2,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.66 : 7,642.28 = 1,585.17 : x
  2. Step 2: Convert to fraction form
    5,094.66/7,642.28 = 1,585.17/x
  3. Step 3: Cross multiply
    5,094.66x = 7,642.28 × 1,585.17
  4. Step 4: Simplify right side
    5,094.66x = 12,114,305.06
  5. Step 5: Solve for x
    x = 12,114,305.06/5,094.66
  6. Step 6: Final answer
    x = 2,377.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.